Solving Equations by Adding or Subtracting Observe Question
Solving Equations by Adding or Subtracting
Observe, Question, Comment 10/14/13 10/15/13 Solving Equations by Adding and Subtracting & Subtracting Reflection Warm-Up: 19 L 19 R
Warm-Up Simplify the Numerical Expressions [Party or War? ] 2 + 4 -1 – 7 -3 + (-4) 5 – (-3) 2 + -7 5 + 3 -4 + (-8) 9 + -5 -3 – 7 1 – (-8) -7 – (-7) 5 – (-5) 7 – 4 5 – 8 -10 + 12 -7 – (-2)
Observe, Question, Comment 10/14/13 10/15/13 Solving Equations by Adding and Subtracting & Subtracting Reflection Warm-Up: 19 L Standard: 19 R
CA Content Standards • AF 4. 0 Students solve simple linear equations over the rational numbers.
Observe, Question, Comment 10/14/13 10/15/13 Solving Equations by Adding and Subtracting & Subtracting Reflection Warm-Up: Standard: Objective: 19 L 19 R
Objective: • To solve one-step equations using addition and/ or subtraction. • Why Learn This? : If you can solve equations, you can use known information to find unknown information.
Observe, Question, Comment 10/14/13 10/15/13 Solving Equations by Adding and Subtracting & Subtracting Reflection Warm-Up: Standard: Objective: Language of the Discipline: 19 L 19 R
Review Vocabulary: Equation • A mathematical sentence with an equal sign.
Review Vocabulary: Inverse Operations • Operations that undo each other (Ex. addition-subtraction and multiplication-division).
Observe, Question, Comment 10/14/13 10/15/13 Solving Equations by Adding and Subtracting & Subtracting Reflection Warm-Up: Standard: Practice: Objective: Language of the Discipline: Notes/Examples: 19 L 19 R
Equation Background • Solving equations is like balancing a scale. If you add or subtract a number from one side of an equation, you must also add or subtract that number from the other side in order to maintain equality. • Your goal is to isolate the variable on one side of the equal sign. In other words, get the variable by itself so you can figure out its value.
Problems to Write and Work on the Whiteboard x – 34 = -46 x -104 = 64 t – 58 = 71 126 - d = 98 58 - t = 71 -35 = 8 – y p + 17 = 83 s + 74 = 286 58 + b = 93 g + 12 = -35 31= -18 + t -35 = n + -3 138 + m = -150
Solve the Equations • X + 3 = 10 • 13 = x + 5 • Y – 8 = 11 • 12 = n – 3 • N + 5 = 11 • 11 + 3 = k
Challenge • Write two equations with solution c = – 46, one that is solved by adding and one by subtracting.
Translate the sentence into an equation and solve • The sum of k and 13 is negative 28. 13 28 • Five is the difference of t and 4. Five
Translate the sentence into an equation and solve. • The sum of a number n and 5 is equal to negative 19. • The difference of a number n and 5 is equal to negative 19. • Six less than a number x is 39. • Six more than a number x is negative 39. • Forty-two equals 5 subtracted from x • Forty-two equals forty-five added to y
Mix Prove Match The sum of a number n and -5 is equal to -19. A: x = -33 The difference of a number n and -5 is equal to -19. B: x = -14 Six less than a number x is -39. C: x = -24 Answer: ______
Mix Prove Match -60 more than a number x is -39. D: x = 3 -42 equals 59 subtracted from x E: x = 87 48 equals 45 added to y. F: x = 21 Answer: ______ 42 is the same as n diminished by 45. Answer: _____ G: x = 17
Exit Slip 1) 2) 3) 4) 5) 6) p + 5 = -2 9 = t – 8 -51 = k – 34 h + 9 = -45 -12 = d + 45 -89 = x + 75
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